There is a gap, yes. Guilt is about the action itself, remorse is about the victim of the action. Guilt is I shouldn't have done punched a person in the face because punching people in the face is wrong, remorse is I shouldn't have punched you in the face, because it hurt you and I'm sorry for hurting you.

It's entirely possible that you can feel guilt about an action but not remorse, or vice versa.

• Maybe I don't like a person and while I know punching people is wrong, I don't feel bad about them getting punched. That's guilt, but not remorse.
• Maybe I do like a person and while I don't care that punching people is wrong, I feel bad that I hurt that particular person. That's remorse without guilt.
• Maybe I punched somebody and feel bad about both the action and how it affected somebody. That's both guilt and remorse.
• Maybe I punched somebody and don't care that it's wrong or that I hurt them. That's psychopathic neither guilt nor remorse.